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Simplifying (-4y + x + -7) * x = 0 Reorder the terms: (-7 + x + -4y) * x = 0 Reorder the terms for easier multiplication: x(-7 + x + -4y) = 0 (-7 * x + x * x + -4y * x) = 0 Reorder the terms: (-7x + -4xy + x2) = 0 (-7x + -4xy + x2) = 0 Solving -7x + -4xy + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + -4y + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-7 + -4y + x)' equal to zero and attempt to solve: Simplifying -7 + -4y + x = 0 Reorder the terms: -7 + x + -4y = 0 Solving -7 + x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + x + 7 + -4y = 0 + 7 Reorder the terms: -7 + 7 + x + -4y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x + -4y = 0 + 7 x + -4y = 0 + 7 Combine like terms: 0 + 7 = 7 x + -4y = 7 Add '4y' to each side of the equation. x + -4y + 4y = 7 + 4y Combine like terms: -4y + 4y = 0 x + 0 = 7 + 4y x = 7 + 4y Simplifying x = 7 + 4ySolution
x = {0, 7 + 4y}
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